6980533884900 has 81 divisors (see below), whose sum is σ = 21880344100251. Its totient is φ = 1861454566080.

The previous prime is 6980533884893. The next prime is 6980533884949. The reversal of 6980533884900 is 94883350896.

The square root of 6980533884900 is 2642070.

It is a perfect power (a square), and thus also a powerful number.

6980533884900 is a `hidden beast` number, since 6 + 9 + 8 + 0 + 533 + 8 + 8 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 319674898404 + 6660858986496 = 565398^2 + 2580864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79218066 + ... + 79306134.

Almost surely, 2^{6980533884900} is an apocalyptic number.

6980533884900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6980533884900 is the 2642070-th square number.

It is an amenable number.

6980533884900 is an abundant number, since it is smaller than the sum of its proper divisors (14899810215351).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6980533884900 is an frugal number, since it uses more digits than its factorization.

6980533884900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176158 (or 88079 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 6980533884900 in words is "six trillion, nine hundred eighty billion, five hundred thirty-three million, eight hundred eighty-four thousand, nine hundred".